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Finding the Fourth Proportional to 105,309.36, 157,973.94 and 38,750.76

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Solution

The fourth proportional to 105,309.36, 157,973.94 and 38,750.76 is: 58,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,309.36 : 157,973.94 = 38,750.76 : x
  2. Step 2: Convert to fraction form
    105,309.36/157,973.94 = 38,750.76/x
  3. Step 3: Cross multiply
    105,309.36x = 157,973.94 × 38,750.76
  4. Step 4: Simplify right side
    105,309.36x = 6,121,610,235.19
  5. Step 5: Solve for x
    x = 6,121,610,235.19/105,309.36
  6. Step 6: Final answer
    x = 58,129.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.